Question

Marcus is building a model of Earth using a sphere with a surface area of 400 TT
SA
square inches. Use the formular = where r is the radius of the sphere and SA
is the surface area, to find the radius of the sphere Marcus is using for his model.
41

Answer 1

Answer:

r = 6.69 inches

Step-by-step explanation:

We have,

Marcus is building a model of Earth using a sphere with a surface area of $400\pi\ \text{inch}^2$.

It is required to find the radius of the sphere Marcus is using for his model.

The surface area of a circular shaped object is given by :

$A=\dfrac{4}{3}\pi r^3$

r is radius

$r=(\dfrac{3A}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 400\pi}{4\pi})^{1/3}\\\\r=6.69\ \text{inch}$

So, the radius of the sphere is 6.69 inches.